solving complex coupled pdes

Hello everyone,

I am trying to solve the following set of pdes.

u and alpha are the unknown functions. , where A is a constant. xi and eta are functions of . The others are constants.

Is there a way to solve this using pdepe?

thanks in advance!

[Torsten]

Is there a way to solve this using pdepe?

No.

Don't you need a total of 4 boundary conditions instead of only one ?

Are you sure about a mixed-term d^2(phi_s)/dt dz in the boundary condition ?

Does xi(u_dot+2alpha_dotz) and G(u-alphah0) mean xi*(...) and G*(...) or xi@(...) and G@(...) ?